V. V. Val'kov, S. G. Ovchinnikov, “Hubbard operators and spin-wave theory of Heisenberg magnets with arbitrary spin”, TMF, 50:3 (1982), 466–476; Theoret. and Math. Phys., 50:3 (1982), 306

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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 50, Number 3, Pages 466–476 (Mi tmf2356)

This article is cited in 20 scientific papers (total in 20 papers)

Hubbard operators and spin-wave theory of Heisenberg magnets with arbitrary spin

V. V. Val'kov, S. G. Ovchinnikov

Full-text PDF (1352 kB) Citations (20)

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Abstract: A new method is proposed for constructing a spin-wave theory based on the exact connectior, between the spin operators and the Hubbard operators and making it possible to find simultaneously both the spin wave spectrum (in the Tyablikov approximation) as well as the population numbers of levels with different spin projections. For anisotropic ferromagnets and antiferromagnets a dispersion relation is obtained for the spin waves with exact allowance for the single-ion anisotropy It is established that there is a threshold with respect to the anisotropy and the temperature above which the spin-wave theory does not hold.

Received: 12.02.1981

English version:
Theoretical and Mathematical Physics, 1982, Volume 50, Issue 3, Pages 306–313
DOI: https://doi.org/10.1007/BF01016463

Bibliographic databases:

Language: Russian

Citation: V. V. Val'kov, S. G. Ovchinnikov, “Hubbard operators and spin-wave theory of Heisenberg magnets with arbitrary spin”, TMF, 50:3 (1982), 466–476; Theoret. and Math. Phys., 50:3 (1982), 306–313

Citation in format AMSBIB

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\pages 466--476

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\jour Theoret. and Math. Phys.

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\pages 306--313

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Linking options:

https://www.mathnet.ru/eng/tmf2356

https://www.mathnet.ru/eng/tmf/v50/i3/p466

This publication is cited in the following 20 articles:

Yu. S. Orlov, S. V. Nikolaev, S. G. Ovchinnikov, “Excitonic order in strongly correlated systems with the spin crossover”, JETP Letters, 117:9 (2023), 708–715
Alexander N. Rudenko, Malte Rösner, Mikhail I. Katsnelson, “Dielectric tunability of magnetic properties in orthorhombic ferromagnetic monolayer CrSBr”, npj Comput Mater, 9:1 (2023)
Yu. S. Orlov, S. V. Nikolaev, V. I. Kuz'min, A. E. Zarubin, S. G. Ovchinnikov, “Excitonic ordering in strongly correlated spin crossover systems: Induced magnetism and excitonic excitation spectrum”, Phys. Rev. B, 106:23 (2022)
Yu. S. Orlov, S. V. Nikolaev, V. A. Dudnikov, S. G. Ovchinnikov, “Forming a dielectric exciton phase in strongly correlated systems with spin crossover”, Phys. Rev. B, 104:19 (2021)
Yu. S. Orlov, S. V. Nikolaev, A. I. Nesterov, S. G. Ovchinnikov, “Light-Induced Ultrafast Dynamics of Spin Crossovers under High Pressure”, J. Exp. Theor. Phys., 132:3 (2021), 399
Yu. S. Orlov, S. V. Nikolaev, S. G. Ovchinnikov, A. I. Nesterov, “Ultrafast quantum relaxation dynamics of magnetically ordered systems with spin crossover in an excited state under a sudden perturbation”, JETP Letters, 112:4 (2020), 250–256
Kuz'min I V., Orlov Yu.S., Zarubin A.E., Ovchinnikova T.M., Ovchinnikov S.G., “Magnetism in Spin Crossover Systems: Short-Range Order and Effects Beyond the Heisenberg Model”, Phys. Rev. B, 100:14 (2019), 144429
Yu. S. Orlov, S. V. Nikolaev, S. G. Ovchinnikov, “Magnetic Properties and Spin Crossover in Transition Metal Oxides with d5 Ions at High Pressures”, J. Exp. Theor. Phys., 129:6 (2019), 1062
E. G. Galkina, B. A. Ivanov, V. I. Butrim, “Longitudinal spin dynamics in nickel fluorosilicate”, Low Temperature Physics, 40:7 (2014), 635
G. A. Gorelikov, Yu. A. Fridman, “Effect of mechanical boundary conditions on the dynamic and static properties of a strongly anisotropic ferromagnet”, J. Exp. Theor. Phys., 117:1 (2013), 126
V. I. Butrim, B. A. Ivanov, O. A. Kosmachev, Yu. A. Fridman, “Temperature dependence of static and dynamic properties of an anisotropic ferrimagnet”, Phys. Solid State, 54:7 (2012), 1363
V. Yu. Irkhin, “The method of two-time Green's functions in the magnetism theory of metals with strong correlations”, Theoret. and Math. Phys., 168:3 (2011), 1246–1257
E. V. Kuz'min, S. G. Ovchinnikov, D. J. Singh, “Effect of frustrations on magnetism in the Ru double perovskiteSr2YRuO6”, Phys. Rev. B, 68:2 (2003)
V. M. Loktev, V. S. Ostrovskii, “Peculiarities of the statics and dynamics of magnetic insulators with single-ion anisotropy”, Low Temperature Physics, 20:10 (1994), 775
E. V. Kuz'min, G. A. Petrakovskii, “Thermodynamics of a quasi-two-dimensional heisenberg ferromagnet with single-ion anisotropy”, Soviet Physics Journal, 31:3 (1988), 256
Yu. V. Pereverzev, V. G. Borisenko, “Magnon spectrum and phase transitions in easy-plane magnets”, Soviet Journal of Low Temperature Physics, 13:11 (1987), 670
V. V. Val'kov, T. A. Val'kova, “Low temperature magnetization of an easy-plane ferromagnet”, Soviet Journal of Low Temperature Physics, 11:9 (1985), 524
A. V. Vedyaev, M. Yu. Nikolaev, “Aspects of the diagram technique for Hubbard operators”, Theoret. and Math. Phys., 59:2 (1984), 510–512
V. V. Val'kov, T. A. Val'kova, “Influence of cubic anisotropy on the ground state and thermodynamic properties of Heisenberg magnets”, Theoret. and Math. Phys., 59:3 (1984), 617–625
Ya. M. Neimatov, “Spectrum of elementary excitations in compounds formed by a rare-earth metal and a transition metal”, Theoret. and Math. Phys., 54:2 (1983), 189–195

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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